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Finding the Third Proportional to 1,306,716 and 2,813,658

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Solution

The third proportional to 1,306,716 and 2,813,658 is: 6,058,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,716 : 2,813,658 = 2,813,658 : x
  2. Step 2: Convert to fraction form
    1,306,716/2,813,658 = 2,813,658/x
  3. Step 3: Cross multiply
    1,306,716x = 2,813,658 × 2,813,658
  4. Step 4: Simplify right side
    1,306,716x = 7,916,671,340,964
  5. Step 5: Solve for x
    x = 7,916,671,340,964/1,306,716
  6. Step 6: Final answer
    x = 6,058,448.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.